AnswersKY-Algebra II CRUnit Test

Unit Test — Unit test Answers

0 verified answers1 views
1
Free Preview

Anja divides (8x3 – 36x2 + 54x – 27) by (2x – 3) as shown below. What error does Anja make?

Question illustration
A
She makes a subtraction error.
B
She makes an error choosing the x-term in the quotient.
C
She makes a multiplication error.
D
She makes an error rewriting the problem in long division.
2
Free Preview

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
3

You can use a system of equations to graph and solve the polynomial equation . Which statement is true?

Question illustration
A
The system has one solution, and the equation has three zeroes.
B
The y-coordinates of the solutions to the system and the zeroes of the equation are not equal.
C
The x-coordinates of the solutions to the system and the zeroes of the equation are not equal.
D
The equation has one zero, and the system has three solutions.
4

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

A
2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves
Option A
B
2x2 + x – 3 –
Option B
C
2x2 – x
D
2x2 + x – 3
5

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

Question illustration
A
4 centimeters
B
5 centimeters
C
8 centimeters
D
10 centimeters
6

A function is a sixth-degree polynomial function. How many turning points can the graph of the function have?

A
exactly 5
B
5 or less
C
exactly 6
D
6 or less
7

Which statement describes the graph of this polynomial function?

Question illustration
A
The graph crosses the x-axis at x = 2 and x = –1 and touches the x-axis at x = 0.
B
The graph touches the x-axis at x = 2 and x = –1 and crosses the x-axis at x = 0.
C
The graph crosses the x-axis at x = –2 and x = 1 and touches the x-axis at x = 0.
D
The graph touches the x-axis at x = –2 and x = 1 and crosses the x-axis at x = 0.
8

If (x – 5) is a factor of f(x), which of the following must be true?

A
A root of f(x) is x = –5.
B
A root of f(x) is x = 5.
C
Both x = –5 and x = 5 are roots of f(x).
D
Neither x = –5 nor x = 5 is a root of f(x).
9

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Question illustration
A
f(x) = x(x – a)2(x – b)4
B
f(x) = x(x – a)3(x – b)2
C
f(x) = x4(x – a)(x – b)2
D
f(x) = x2(x – a)5(x – b)
10

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

A
The graph of the function is positive on (2, 4).
B
The graph of the function is negative on (4, ).
Option B
C
The graph of the function is positive on (, –7).
Option C
D
The graph of the function is negative on (–7, –1).
11

One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

A
f(x) has two real roots and one imaginary root.
B
f(x) has two imaginary roots and one real root.
C
f(x) has three imaginary roots.
D
f(x) has three real roots.
12

If (x + k) is a factor of f(x), which of the following must be true?

A
f(k) = 0
B
f(–k) = 0
C
A root of f(x) is x = k.
D
A y intercept of f(x) is x = –k.
13

If f(–5) = 0, what are all the factors of the function ? Use the Remainder Theorem.

Question illustration
A
(x – 2)(x + 5)(x – 3)
B
(x + 2)(x – 5)(x + 3)
C
(x – 2)(x + 5)
D
(x + 2)(x – 5)
14

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

A
As , and as , .
Option A
B
As , and as , .
Option B
C
As , and as , .
Option C
D
As , and as , .
Option D
15

Which of the following is the complete list of roots for the polynomial function ?

Question illustration
A
–5, 3
B
–5, 3, –4 + i, –4 – i
C
–5, 3, –4 + i, 4 + i
D
–4 + i, –4 – i

Did you find these answers helpful?

More from this Course

Assignment
1 verified answers

Warm-Up